English

Path-integral evolution of chaos embedded in noise: Duffing neocortical analog

Chaotic Dynamics 2007-05-23 v1 Adaptation and Self-Organizing Systems

Abstract

A two dimensional time-dependent Duffing oscillator model of macroscopic neocortex exhibits chaos for some ranges of parameters. We embed this model in moderate noise, typical of the context presented in real neocortex, using PATHINT, a non-Monte-Carlo path-integral algorithm that is particularly adept in handling nonlinear Fokker-Planck systems. This approach shows promise to investigate whether chaos in neocortex, as predicted by such models, can survive in noisy contexts.

Keywords

Cite

@article{arxiv.nlin/0001047,
  title  = {Path-integral evolution of chaos embedded in noise: Duffing neocortical analog},
  author = {Lester Ingber and R. Srinivasan and Paul Nunez},
  journal= {arXiv preprint arXiv:nlin/0001047},
  year   = {2007}
}

Comments

23 PostScript pages, including 10 figures